GCD of 990, 204, 13, 743 Calculator

Given Input numbers are 990, 204, 13, 743

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 990, 204, 13, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 204, 13, 743 is 1.

Therefore, GCD of numbers 990, 204, 13, 743 is 1

Given Input Data is 990, 204, 13, 743

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 13 is 13

Prime Factorization of 743 is 743

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(990, 204) = 33660

GCD(990, 204) = ( 990 x 204 ) / 33660

GCD(990, 204) = 201960 / 33660

GCD(990, 204) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 13

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 13) = 78

GCD(6, 13) = ( 6 x 13 ) / 78

GCD(6, 13) = 78 / 78

GCD(6, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 990, 204, 13, 743 is 1

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1. What is the GCD of 990, 204, 13, 743?

GCD of 990, 204, 13, 743 is 1

2. Where do I get the detailed procedure to find GCD of 990, 204, 13, 743?

You can find a detailed procedure to find GCD of 990, 204, 13, 743 on our page.

3. How to find GCD of 990, 204, 13, 743 on a calculator?

You can find the GCD of 990, 204, 13, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.